314211000 has 256 divisors, whose sum is σ = 1065467520. Its totient is φ = 76800000.

The previous prime is 314210989. The next prime is 314211011. The reversal of 314211000 is 112413.

314211000 = 5² + 6² + ... + 980².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (314210989) and next prime (314211011).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3110950 + ... + 3111050.

Almost surely, 2^314211000 is an apocalyptic number.

314211000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532733760).

314211000 is an abundant number, since it is smaller than the sum of its proper divisors (751256520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314211000 is a wasteful number, since it uses less digits than its factorization.

314211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 314211000 is about 17725.9978562562. The cubic root of 314211000 is about 679.8406489351.

Adding to 314211000 its reverse (112413), we get a palindrome (314323413).

The spelling of 314211000 in words is "three hundred fourteen million, two hundred eleven thousand".